Is there any way to know the Apple Remote Control battery status from my Mac OS X?
There is no indicator in OS X unless you are using an Apple TV.
Apple wants you to take a digital picture of the remote and see if you can see an IR light pulse from it to check if the battery is dead.
If the battery is getting low, OS 10.5 & 10.6 will flash a picture of the remote, with the battery compartment open to indicate that the battery is low.
This, of course, requires that the remote be able to send a IR signal, so if the remote battery is dead, you'll never see this warning...
Here's a similar picture, but it's not the same picture...